Given numbers are 678,638,319,448

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 678,638,319,448 is 48447168.

Find LCM of 678,638,319,448 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 29 x 339 x 1 x 1 x 224 = 48447168

Therefore, the lowest common multiple of 678,638,319,448 is 48447168.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

678 x 638 x 319 x 448 = 61818586368

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

678 : 1, 2, 3, 6, 113, 226, 339, 678

638 : 1, 2, 11, 22, 29, 58, 319, 638

319 : 1, 11, 29, 319

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,638,319,448, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

638:2x 11x 29

319:11x 29

448:2x 2x 2x 2x 2x 2x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 11x 29 = 1276

Therefore, the value for common factors is 1276.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 61818586368/(1x1276)

LCM = 61818586368/1276

LCM = 48447168

Thus, we can understand that the LCM of 678,638,319,448 is 48447168.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 300, 663, 679, 586
• LCM of 563, 614, 962, 212
• LCM of 437, 197, 385, 485
• LCM of 589, 416, 323, 931
• LCM of 637, 271, 768, 571

1. What is the LCM of 678, 638, 319, 448?

Answer: LCM of 678, 638, 319, 448 is 48447168.

2. How to calculate the LCM of 678, 638, 319, 448?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 678, 638, 319, 448.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.